Exam Details
IIT JEE 1997
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Questions
37
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Topic distribution
Subtopic distribution
Difficulty distribution
37questions
Medium
18
48.6%
Easy
15
40.5%
Hard
4
10.8%
Question type distribution
37questions
Subjective
21
56.8%
Multiple Choices
13
35.1%
Fill in the blanks
3
8.1%
Syllabus
Full Syllabus
Sample questions from this paper
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1997 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1997
Let C be any circle with centre \(\,\left( {0\, , \sqrt {2} } \right)\). Prove that at the most two rational points can to there on C. (A rational point is a point both of whose coordinates are rational numbers.)
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1997 · Chemistry · Physical Chemistry · Redox Reactions
IIT JEE 1997
To a 25ml H2O2 solution, excess of acidified solution of potassium iodide was added. The iodine liberated required 20 ml of 0.3 N sodium thiosulphate solution. Calculate the volume strength of H2O2 solution.
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1997 · Physics · Mechanics · Units And Measurements
IIT JEE 1997
The equation of state for real gas is given by \(\left( {P + {a \over {{V^2}}}} \right)\left( {V - b} \right) = RT\). The dimention of the constant a is ___________.
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1997 · Mathematics · Algebra · Probability
IIT JEE 1997
If \(p\) and \(q\) are chosen randomly from the set \(\left\{ {1,2,3,4,5,6,7,8,9,10} \right\},\) with replacement, determine the probability that the roots of the equation \({x^2} + px + q = 0\) are real.
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1997 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT JEE 1997
Which one of the following compounds has sp2 hybridization?
1997 · Mathematics · Algebra · Mathematical Induction And Binomial Theorem
IIT JEE 1997
Let \(0 < {A_i} < n\) for \(i = 1,\,2....,\,n.\) Use mathematical induction to prove that
\(\sin {A_1} + \sin {A_2}....... + \sin {A_n} \le n\,\sin \,\,\left( {{{{A_1} + {A_2} + ...... + {A_n}} \over n}} \right)\)
where \(\ge 1\) is a natural number. {You may use the fact that \(p\sin x + \left( {1 - p} \right)\sin y \le \sin \left[ {px + \left( {1 - p} \right)y} \right],\) where \(0 \le p \le 1\) and \(0 \le x,y \le \pi .\)}
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